MinT - Information on Result #629448

Information on Result #629448

Linear OA(2²⁰¹, 219, F₂, 81) (dual of [219, 18, 82]-code), using concatenation of two codes based on

linear OA(4⁶⁴, 73, F₄, 40) (dual of [73, 9, 41]-code), using
- discarding factors / shortening the dual code based on linear OA(4⁶⁴, 74, F₄, 40) (dual of [74, 10, 41]-code), using
  - 11 times truncation [i] based on linear OA(4⁷⁵, 85, F₄, 51) (dual of [85, 10, 52]-code), using
    - concatenation of two codes [i] based on
      1. linear OA(16¹², 17, F₁₆, 12) (dual of [17, 5, 13]-code or 17-arc in PG(11,16)), using
        extended Reedâ€“Solomon code RS_e(5,16) [i]
      2. linear OA(4³, 5, F₄, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
        extended Reedâ€“Solomon code RS_e(2,4) [i]
        Simplex code S(2,4) [i]
linear OA(2¹, 3, F₂, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
  - parity-check code [i]

Mode: Constructive and linear.

None.

None.